TSTP Solution File: SEU165+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU165+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ey49tSKseO true

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 19:10:56 EDT 2023

% Result   : Theorem 0.76s 0.78s
% Output   : Refutation 0.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   26 (   6 unt;   7 typ;   0 def)
%            Number of atoms       :   37 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  147 (  13   ~;  12   |;   3   &; 116   @)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   24 (   0   ^;  24   !;   0   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__4_type,type,
    sk__4: $i ).

thf(ordered_pair_type,type,
    ordered_pair: $i > $i > $i ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(in_type,type,
    in: $i > $i > $o ).

thf(cartesian_product2_type,type,
    cartesian_product2: $i > $i > $i ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(sk__5_type,type,
    sk__5: $i ).

thf(l55_zfmisc_1,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) )
    <=> ( ( in @ A @ C )
        & ( in @ B @ D ) ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( in @ ( ordered_pair @ X0 @ X1 ) @ ( cartesian_product2 @ X2 @ X3 ) )
      | ~ ( in @ X1 @ X3 )
      | ~ ( in @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[l55_zfmisc_1]) ).

thf(t106_zfmisc_1,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) )
    <=> ( ( in @ A @ C )
        & ( in @ B @ D ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i] :
        ( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) )
      <=> ( ( in @ A @ C )
          & ( in @ B @ D ) ) ),
    inference('cnf.neg',[status(esa)],[t106_zfmisc_1]) ).

thf(zip_derived_cl12,plain,
    ( ~ ( in @ sk__3 @ sk__5 )
    | ~ ( in @ sk__2 @ sk__4 )
    | ~ ( in @ ( ordered_pair @ sk__2 @ sk__3 ) @ ( cartesian_product2 @ sk__4 @ sk__5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ( ( in @ sk__2 @ sk__4 )
    | ( in @ ( ordered_pair @ sk__2 @ sk__3 ) @ ( cartesian_product2 @ sk__4 @ sk__5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( in @ X0 @ X1 )
      | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ ( cartesian_product2 @ X1 @ X3 ) ) ),
    inference(cnf,[status(esa)],[l55_zfmisc_1]) ).

thf(zip_derived_cl77,plain,
    ( ( in @ sk__2 @ sk__4 )
    | ( in @ sk__2 @ sk__4 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl13]) ).

thf(zip_derived_cl79,plain,
    in @ sk__2 @ sk__4,
    inference(simplify,[status(thm)],[zip_derived_cl77]) ).

thf(zip_derived_cl82,plain,
    ( ~ ( in @ sk__3 @ sk__5 )
    | ~ ( in @ ( ordered_pair @ sk__2 @ sk__3 ) @ ( cartesian_product2 @ sk__4 @ sk__5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl79]) ).

thf(zip_derived_cl11,plain,
    ( ( in @ sk__3 @ sk__5 )
    | ( in @ ( ordered_pair @ sk__2 @ sk__3 ) @ ( cartesian_product2 @ sk__4 @ sk__5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( in @ X0 @ X1 )
      | ~ ( in @ ( ordered_pair @ X2 @ X0 ) @ ( cartesian_product2 @ X3 @ X1 ) ) ),
    inference(cnf,[status(esa)],[l55_zfmisc_1]) ).

thf(zip_derived_cl83,plain,
    ( ( in @ sk__3 @ sk__5 )
    | ( in @ sk__3 @ sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl14]) ).

thf(zip_derived_cl84,plain,
    in @ sk__3 @ sk__5,
    inference(simplify,[status(thm)],[zip_derived_cl83]) ).

thf(zip_derived_cl85,plain,
    ~ ( in @ ( ordered_pair @ sk__2 @ sk__3 ) @ ( cartesian_product2 @ sk__4 @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl84]) ).

thf(zip_derived_cl90,plain,
    ( ~ ( in @ sk__2 @ sk__4 )
    | ~ ( in @ sk__3 @ sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl85]) ).

thf(zip_derived_cl79_001,plain,
    in @ sk__2 @ sk__4,
    inference(simplify,[status(thm)],[zip_derived_cl77]) ).

thf(zip_derived_cl84_002,plain,
    in @ sk__3 @ sk__5,
    inference(simplify,[status(thm)],[zip_derived_cl83]) ).

thf(zip_derived_cl91,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl90,zip_derived_cl79,zip_derived_cl84]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU165+1 : TPTP v8.1.2. Released v3.3.0.
% 0.14/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Ey49tSKseO true
% 0.15/0.35  % Computer : n002.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Wed Aug 23 22:54:16 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.68  % Total configuration time : 435
% 0.22/0.68  % Estimated wc time : 1092
% 0.22/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.76/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.76/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.76/0.78  % Solved by fo/fo6_bce.sh.
% 0.76/0.78  % BCE start: 16
% 0.76/0.78  % BCE eliminated: 0
% 0.76/0.78  % PE start: 16
% 0.76/0.78  logic: eq
% 0.76/0.78  % PE eliminated: 1
% 0.76/0.78  % done 23 iterations in 0.013s
% 0.76/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.76/0.78  % SZS output start Refutation
% See solution above
% 0.76/0.78  
% 0.76/0.78  
% 0.76/0.78  % Terminating...
% 1.61/0.90  % Runner terminated.
% 1.61/0.91  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------